The truth is, there never was much of a fight. Western Anglicanism is dominated by comfortably tenured bishops whose interests lie in swimming with the cultural tide while indulging in leftist dabblings from the safely of their ecclesiastical plousiocracy. It is more fun to criticise banks than to stand up for traditional marriage. In Anglican Newspeak this is known as prophetic social justice making.
From here:
In a short statement, the established Church said that the scale of the majorities in both the Commons and Lords made clear that it is the will of Parliament that same sex couples “should” be allowed to marry.
The Bishop of Leicester, who leads the bishops in the House of Lords, said they would now concentrate their efforts on “improving” rather than halting an historic redefinition of marriage.